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Manipal Engineering Manipal Engineering Solved Paper-2015

  • question_answer
    Two moles of helium are mixed with n moles of hydrogen. The root mean square (rms) speed of gas molecules in the mixture is \[-{{T}^{2}}{{\left[ \frac{\delta (G/T)}{\delta T} \right]}_{p}}\] times the speed of sound in the mixture. Then, the value of n is

    A) 1                                             

    B) 3     

    C)  2                                            

    D) 3/2

    Correct Answer: C

    Solution :

    \[{{x}_{1}}.{{x}_{2}}.{{x}_{3}}...\]\[9{{x}^{2}}-18\text{ }\!\!|\!\!\text{ x }\!\!|\!\!\text{ }+5=0\]and \[{{\log }_{e}}\] \[{{2}^{x}}+{{2}^{y}}={{2}^{x+y}}y,\]i.e.\[\frac{dy}{dx}\]ratio of \[\frac{{{2}^{x}}+{{2}^{y}}}{{{2}^{x}}-{{2}^{y}}}\]for the maixture\[\frac{{{2}^{x}}+{{2}^{y}}}{1+{{2}^{x+y}}}\] and\[{{2}^{x-y}}\left( \frac{{{2}^{y}}-1}{1-{{2}^{x}}} \right)\] \[\frac{{{2}^{x-y}}-{{2}^{x}}}{{{2}^{y}}}\]\[x-3y=0\] \[x+3y=0\]\[3x-y=0\] \[2x+y=0\]\[\sin A+\cos A=m\] \[{{\sin }^{3}}A+{{\cos }^{3}}A=n,\]n=2


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